Let's roll up our sleeves and solve this. We have 583 and we're going to multiply it by 26, essentially adding 583 to itself 26 times.
Step 1: 0 + 583 = 583
Step 2: 583 + 583 = 1166
Step 3: 1166 + 583 = 1749
Step 4: 1749 + 583 = 2332
Step 5: 2332 + 583 = 2915
Step 6: 2915 + 583 = 3498
Step 7: 3498 + 583 = 4081
Step 8: 4081 + 583 = 4664
Step 9: 4664 + 583 = 5247
Step 10: 5247 + 583 = 5830
Step 11: 5830 + 583 = 6413
Step 12: 6413 + 583 = 6996
Step 13: 6996 + 583 = 7579
Step 14: 7579 + 583 = 8162
Step 15: 8162 + 583 = 8745
Step 16: 8745 + 583 = 9328
Step 17: 9328 + 583 = 9911
Step 18: 9911 + 583 = 10494
Step 19: 10494 + 583 = 11077
Step 20: 11077 + 583 = 11660
Step 21: 11660 + 583 = 12243
Step 22: 12243 + 583 = 12826
Step 23: 12826 + 583 = 13409
Step 24: 13409 + 583 = 13992
Step 25: 13992 + 583 = 14575
Step 26: 14575 + 583 = 15158

So, 583*26 = 15158